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arXiv · 1901.08645

Local cohomology of binomial edge ideals and their generic ideals

Josep Àlvarez Montaner
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Abstract

We provide a Hochster type formula for the local cohomology modules of binomial edge ideals. As a consequence we obtain a simple criterion for the Cohen-Macaulayness of these ideals and we describe their Castelnuovo-Mumford regularity and their Hilbert series. We also prove a conjecture of Conca, De Negri and Gorla relating the graded components of the local cohomology modules of binomial edge ideals and their generic initial ideals.

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Josep Àlvarez Montaner. 2019-01-24. Local cohomology of binomial edge ideals and their generic ideals. https://arxiv.org/abs/1901.08645

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